Verify experimentally that the circumference angles of circle standing on the same arc are equal.
Construct a triangle ΔABC in which AB = 5.4 cm, BC = 7 cm and angle ∠BAC = 60°. Also construct a parallelogram equal in area to the triangle ΔABC and having a side of length 7.2 cm
Prove that the opposite angles of cyclic quadrilateral are supplementary.
In the given figure, O is the center of circle, PG is tangent to the circle and G is the point of contact. If PG = DG, then the value of angle ∠DPG.
In the adjoining figure, O is the center of a circle. If angle ∠DAC = 25°, find the values of angle ∠BDC and angle ∠BAC.
In the given figure, D is the mid-point of BC and DE⊥AC. If AC = 12 cm, and DE = 5 cm, find the area of triangle ΔABC
In the given circle, what is the relation between angle ∠PQR and angle ∠PSR
What is the relation between the areas of parallelograms which are standing on same base and lie between the same parallel lines.
Points K,L,M and N are concyclic such that arc KL = arc NM. If the chords KM and LN are intersected at a point P, then prove that.
Verify experimentally that the circumference angle BED is half of the central angle BCD standing on the same arc BD of a circle. (Two circles having radii at least 3 cm are necessary).
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